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Volumn , Issue 679, 2000, Pages 1-162

Inverses of disjointness preserving operators

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EID: 0033632897     PISSN: 00659266     EISSN: None     Source Type: Journal    
DOI: 10.1090/memo/0679     Document Type: Article
Times cited : (65)

References (65)
  • 1
    • 49049123479 scopus 로고
    • Multiplicative representation of operators preserving disjointness
    • [A] Y. A. Abramovich, Multiplicative representation of operators preserving disjointness, Netherl. Acad. Wetensch. Proc. Ser. A 86 (1983), 265-279.
    • (1983) Netherl. Acad. Wetensch. Proc. Ser. A , vol.86 , pp. 265-279
    • Abramovich, Y.A.1
  • 3
    • 22044436407 scopus 로고    scopus 로고
    • A solution to a problem on invertible disjointness preserving operators
    • [AK1] Y. A. Abramovich and A. K. Kitover, A solution to a problem on invertible disjointness preserving operators, Proc. Amer. Math. Soc. 126 (1998), 1501-1505.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 1501-1505
    • Abramovich, Y.A.1    Kitover, A.K.2
  • 8
  • 9
    • 21444432870 scopus 로고    scopus 로고
    • Linear isometries between subspaces of continuous functions
    • [AF] J. Araujo and J. J. Font, Linear isometries between subspaces of continuous functions, Trans. Amer. Math. Soc. 349 (1997), 413-428.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 413-428
    • Araujo, J.1    Font, J.J.2
  • 10
    • 0001246455 scopus 로고
    • Spectral properties of lamperti operators
    • [Art] W. Arendt, Spectral properties of Lamperti operators, Indiana Univ. Math. J. 32 (1983), 199-215.
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 199-215
    • Arendt, W.1
  • 14
    • 84963071309 scopus 로고
    • Lateral and dedekind completion of archimedean lattice groups
    • [B] S. J. Bernau, Lateral and Dedekind completion of Archimedean lattice groups, J. London Math. Soc. 12 (1976), 320-322.
    • (1976) J. London Math. Soc. , vol.12 , pp. 320-322
    • Bernau, S.J.1
  • 16
    • 84963067326 scopus 로고
    • Coordinated linear spaces
    • [C] J. L. B. Cooper, Coordinated linear spaces, Proc. London Math. Soc. 3 (1953), 305-327.
    • (1953) Proc. London Math. Soc. , vol.3 , pp. 305-327
    • Cooper, J.L.B.1
  • 17
    • 0002202306 scopus 로고    scopus 로고
    • Towards a theory of non-linear orthomorphisms
    • Springer, Berlin New York
    • [EW] Z. Ercan, A. W. Wickstead, Towards a theory of non-linear orthomorphisms, in Functional Analysis and Economic Theory, Springer, Berlin New York, 1998, pp. 65-78.
    • (1998) Functional Analysis and Economic Theory , pp. 65-78
    • Ercan, Z.1    Wickstead, A.W.2
  • 18
    • 0031328367 scopus 로고    scopus 로고
    • Automatic continuity of certain isomorphisms between regular banach function algebras
    • [F1] J. J. Font, Automatic continuity of certain isomorphisms between regular Banach function algebras, Glasgo Math. J. 39, (1997), 333-343.
    • (1997) Glasgo Math. J. , vol.39 , pp. 333-343
    • Font, J.J.1
  • 19
    • 0002286613 scopus 로고    scopus 로고
    • Disjointness preserving mappings between fourier algebras
    • submitted
    • [F2] J. J. Font, Disjointness preserving mappings between Fourier algebras, Proceed. Edinburgh. Math. Soc., submitted.
    • Proceed. Edinburgh. Math. Soc.
    • Font, J.J.1
  • 20
    • 0001401382 scopus 로고
    • On separating maps between locally compact spaces
    • [FH1] J. J. Font and S. Hernandez, On separating maps between locally compact spaces, Archiv der Math. 63 (1994), 158-165.
    • (1994) Archiv der Math. , vol.63 , pp. 158-165
    • Font, J.J.1    Hernandez, S.2
  • 21
    • 0000139278 scopus 로고
    • Automatic continuity and representation of certain linear isomorphisms between group algebras
    • [FH2] J. J. Font and S. Hernandez, Automatic continuity and representation of certain linear isomorphisms between group algebras, Indag. Math. 6 (1995), 397-409.
    • (1995) Indag. Math. , vol.6 , pp. 397-409
    • Font, J.J.1    Hernandez, S.2
  • 24
    • 84972514591 scopus 로고
    • Projective topological spaces
    • [Gls] A. Gleason, Projective topological spaces, Illinois J. Math. 2 (1958), 482-489.
    • (1958) Illinois J. Math. , vol.2 , pp. 482-489
    • Gleason, A.1
  • 25
    • 0000431211 scopus 로고
    • La structure idéale des m-espaces
    • [GdeR] A. Goullet de Rugy, La structure idéale des M-espaces, J. Math. pures et appl. 51 (1972), 331-373.
    • (1972) J. Math. Pures et Appl. , vol.51 , pp. 331-373
    • De Rugy, A.G.1
  • 26
    • 0002127535 scopus 로고
    • Locally one-dimensional k-spaces and σ-distributive boolean algebras
    • [G1] A. Gutman, Locally one-dimensional K-spaces and σ-distributive Boolean algebras, Sibirian Adv. Math. 5 (1995), 99-121.
    • (1995) Sibirian Adv. Math. , vol.5 , pp. 99-121
    • Gutman, A.1
  • 27
    • 0002111302 scopus 로고    scopus 로고
    • A private communication
    • [G2] A. Gutman, A private communication.
    • Gutman, A.1
  • 28
    • 0002260140 scopus 로고    scopus 로고
    • Locally constant functions
    • [HK] J. Hart and K. Kunen, Locally constant functions, Fund. Math. 150 (1996), 67-96.
    • (1996) Fund. Math. , vol.150 , pp. 67-96
    • Hart, J.1    Kunen, K.2
  • 30
    • 84974080788 scopus 로고
    • Invertible disjointness preserving operators
    • [HP] C. B. Huijsmans and B. de Pagter, Invertible disjointness preserving operators, Proceed. Edinburgh. Math. Soc. (2) 37 (1993), 125-132.
    • (1993) Proceed. Edinburgh. Math. Soc. , vol.37 , Issue.2 , pp. 125-132
    • Huijsmans, C.B.1    De Pagter, B.2
  • 31
    • 0000092432 scopus 로고
    • The inverse of band preserving and disjointness preserving operators
    • [HW] C. B. Huijsmans and A. W. Wickstead, The inverse of band preserving and disjointness preserving operators, Indag. Math. 3 (1992), 179-183.
    • (1992) Indag. Math. , vol.3 , pp. 179-183
    • Huijsmans, C.B.1    Wickstead, A.W.2
  • 32
    • 0000848159 scopus 로고
    • Automatic continuity of separating linear isomorphisms
    • [J] K. Jarosz, Automatic continuity of separating linear isomorphisms, Canad. Math. Bull. 33 (1990), 139-144.
    • (1990) Canad. Math. Bull. , vol.33 , pp. 139-144
    • Jarosz, K.1
  • 33
    • 84919075069 scopus 로고
    • Linear operators that are close to lattice homomorphisms
    • Leningrad
    • [K1] A. V. Koldunov, Linear operators that are close to lattice homomorphisms, Modern Algebra, No. 3 (1975), Leningrad, 70-73.
    • (1975) Modern Algebra , vol.3 , pp. 70-73
    • Koldunov, A.V.1
  • 34
    • 0002106732 scopus 로고
    • Order continuity and representation of operators with the hammerstein property in vector lattices
    • [K2] A. V. Koldunov, Order continuity and representation of operators with the Hammerstein property in vector lattices, Bull. Pol. Acad. Mat. 41 (1993), 43-50.
    • (1993) Bull. Pol. Acad. Mat. , vol.41 , pp. 43-50
    • Koldunov, A.V.1
  • 35
    • 0001527195 scopus 로고
    • Hammerstein operators preserving disjointness
    • [K3] A. V. Koldunov, Hammerstein operators preserving disjointness, Proc. Amer. Math. Soc. 123 (1995), 1083-1095.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 1083-1095
    • Koldunov, A.V.1
  • 38
    • 0000866061 scopus 로고
    • On homogeneous measure algebras
    • [Ma] D. Maharam, On homogeneous measure algebras, Proc. Nat. Acad. Sci. 28 (1942), 108-111.
    • (1942) Proc. Nat. Acad. Sci. , vol.28 , pp. 108-111
    • Maharam, D.1
  • 39
    • 0002240752 scopus 로고
    • La stabilisateur d'un espaces vectoriel réticulés
    • [M1] M. Meyer, La stabilisateur d'un espaces vectoriel réticulés, C.R. Acad.Sci. Paris 283 (1976), 249-250.
    • (1976) C.R. Acad.Sci. Paris , vol.283 , pp. 249-250
    • Meyer, M.1
  • 40
    • 84889862485 scopus 로고
    • Quelques propriétés des homomorphisms d'espaces vectoriels réticulés
    • Preprint
    • [M2] M. Meyer, Quelques propriétés des homomorphisms d'espaces vectoriels réticulés, Equipe d'Analyse Paris VI, Preprint 131, 1979.
    • (1979) Equipe d'Analyse Paris VI , vol.131
    • Meyer, M.1
  • 42
    • 84974095213 scopus 로고
    • The order boundedness of band preserving operators on uniformly complete vector lattices
    • [MW] P. T. N. McPolin and A. W. Wickstead, The order boundedness of band preserving operators on uniformly complete vector lattices, Math. Proc. Cambridge Phil. Soc. 97 (1985), 481-487.
    • (1985) Math. Proc. Cambridge Phil. Soc. , vol.97 , pp. 481-487
    • McPolin, P.T.N.1    Wickstead, A.W.2
  • 43
    • 0002093065 scopus 로고
    • On characterization of projection operators
    • [N] K. Nakano, On characterization of projection operators, Proc. Japan Academy 36 (1960), 196-197.
    • (1960) Proc. Japan Academy , vol.36 , pp. 196-197
    • Nakano, K.1
  • 45
    • 0002357804 scopus 로고
    • The orthocenter and the ideal center of the order dual of a riesz space
    • [Orh2] M. Orhon, The orthocenter and the ideal center of the order dual of a Riesz space, Middle East Techn. Univ., Math. Dept. Preprint Series no. 3 (1989).
    • (1989) Middle East Techn. Univ., Math. Dept. Preprint Series , vol.3
    • Orhon, M.1
  • 46
    • 0000868882 scopus 로고
    • A note on disjointness preserving operators
    • [P] B. de Pagter, A note on disjointness preserving operators, Proc. Amer. Math. Soc. 90 (1984), 543-549.
    • (1984) Proc. Amer. Math. Soc. , vol.90 , pp. 543-549
    • De Pagter, B.1
  • 48
    • 0002152499 scopus 로고
    • On embedding of a partially ordered space in a space with a unit
    • [Rot] G. Ya. Rotkovich, On embedding of a partially ordered space in a space with a unit, Siberian Math. J. 4 (1965), 918-923.
    • (1965) Siberian Math. J. , vol.4 , pp. 918-923
    • Rotkovich, G.Y.1
  • 49
    • 84966257227 scopus 로고
    • Homogeneity problems in the theory of čech compactifications
    • [R] W. Rudin, Homogeneity problems in the theory of Čech compactifications, Duke Math. J. 23 (1956), 409-419.
    • (1956) Duke Math. J. , vol.23 , pp. 409-419
    • Rudin, W.1
  • 50
    • 0003201852 scopus 로고
    • Continuous functions that are locally constant on dense sets
    • [RR] M. E. Rudin and W. Rudin, Continuous functions that are locally constant on dense sets, J. Funct. Anal. 133 (1995), 120-137.
    • (1995) J. Funct. Anal. , vol.133 , pp. 120-137
    • Rudin, M.E.1    Rudin, W.2
  • 53
    • 0002254717 scopus 로고
    • Topological and lattice-completeness of normed and linear topological lattices
    • [Vek1] A. I. Veksler, Topological and lattice-completeness of normed and linear topological lattices, Dokl. Akad. Nauk USSR 143 (1962), 262-264.
    • (1962) Dokl. Akad. Nauk USSR , vol.143 , pp. 262-264
    • Veksler, A.I.1
  • 54
    • 0002254719 scopus 로고
    • Completeness and σ-completeness of normed and linear topological lattices
    • [Vek2] A. I. Veksler, Completeness and σ-completeness of normed and linear topological lattices, Izv. Vysš. Učebn. Zaved. Matematika (1962), no. 3, 22-30.
    • (1962) Izv. Vysš. Učebn. Zaved. Matematika , vol.3 , pp. 22-30
    • Veksler, A.I.1
  • 55
    • 4244218053 scopus 로고
    • P′-points, p′-sets, p′-spaces. A new class of order continuous measures and functionals
    • [Vek3] A. I. Veksler, P′-points, P′-sets, P′-spaces. A new class of order continuous measures and functionals, Math. Dokl. Acad. Nauk USSR 212 (1973), 789-792.
    • (1973) Math. Dokl. Acad. Nauk USSR , vol.212 , pp. 789-792
    • Veksler, A.I.1
  • 56
    • 0002106736 scopus 로고
    • Projection properties of vector lattices, and freudenthal's theorem
    • [Vek4] A. I. Veksler, Projection properties of vector lattices, and Freudenthal's theorem, Math. Nachr. 74 (1976), 7-25.
    • (1976) Math. Nachr. , vol.74 , pp. 7-25
    • Veksler, A.I.1
  • 57
    • 33646876044 scopus 로고
    • Order and disjoint completeness of linear partially ordered spaces
    • [VG] A. I. Veksler and V. G. Geyler, Order and disjoint completeness of linear partially ordered spaces, Siberian Math. J. 13 (1972), 30-35.
    • (1972) Siberian Math. J. , vol.13 , pp. 30-35
    • Veksler, A.I.1    Geyler, V.G.2
  • 59
    • 0001638506 scopus 로고
    • On linear multiplicative operations
    • [V1] B. Z. Vulikh, On linear multiplicative operations, Dokl. Akad. Nauk USSR 41 (1943), 148-151.
    • (1943) Dokl. Akad. Nauk USSR , vol.41 , pp. 148-151
    • Vulikh, B.Z.1
  • 60
    • 0000124076 scopus 로고
    • Multiplication in linear semi-ordered spaces and its application to the theory of operations
    • [V2] B. Z. Vulikh, Multiplication in linear semi-ordered spaces and its application to the theory of operations, Mat. Sbornik 22 (1948), 267-317.
    • (1948) Mat. Sbornik , vol.22 , pp. 267-317
    • Vulikh, B.Z.1
  • 62
    • 0002375221 scopus 로고
    • Representations and duality of multiplication operators on archimedean riesz spaces
    • [W1] A. W. Wickstead, Representations and duality of multiplication operators on Archimedean Riesz spaces, Comp. Math. 35 (1977), 225-238.
    • (1977) Comp. Math. , vol.35 , pp. 225-238
    • Wickstead, A.W.1
  • 63
    • 0002387973 scopus 로고
    • Banach lattices with trivial center
    • [W2] A. W. Wickstead, Banach lattices with trivial center, Proc. Royal Irish Acad. 88 (1988), 71-83.
    • (1988) Proc. Royal Irish Acad. , vol.88 , pp. 71-83
    • Wickstead, A.W.1
  • 64
    • 0002106738 scopus 로고
    • Representations of archimedean riesz spaces by continuous functions
    • [W3] A. W. Wickstead, Representations of Archimedean Riesz spaces by continuous functions, Acta Appl. Math. 27 (1992), 123-133.
    • (1992) Acta Appl. Math. , vol.27 , pp. 123-133
    • Wickstead, A.W.1


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